Neighborhood topological effect on grain topology-size relationship in three-dimensional polycrystalline microstructures
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A new grain topology-size relationship in three-dimensional (3D) polycrystalline microstructures has recently been established by considering the effects of non-random first nearest neighbor grains. In this contribution, a generalized form for this relationship is presented by considering the interactions of kth (k=1, 2, 3…) nearest neighbor grains, and large scale Monte Carlo-Potts model simulation is used to investigate the general neighborhood topological effect on the topology-size relationship. The results show that, unlike their first nearest neighbors (k=1), the topological correlations of 3D grains with their kth layers (k⩾2) of nearest-neighbors may have trivial effect on the topology-size relationship.
Keywordspolycrystalline microstructures grain size grain topology neighbors topological correlations
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